The G-equation is a Hamilton-Jacobi level-set equation, that is used
in turbulent combustion theory. Level sets of the solution represent a
ﬂame surface which moves with normal velocity that is the sum of the
laminar flame velocity and the fluid velocity. In this work I will
discuss the large-scale long-time asymptotics of these solutions when
the fluid velocity is modeled as a stationary incompressible random
field. The main challenge of this work comes from the fact that our
Hamiltonian is noncoercive. This is a joint work with J.Nolen.